107701420840 has 256 divisors, whose sum is σ = 271593907200. Its totient is φ = 38190157824.

The previous prime is 107701420837. The next prime is 107701420861. The reversal of 107701420840 is 48024107701.

It is a junction number, because it is equal to n+sod(n) for n = 107701420796 and 107701420805.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 450633441 + ... + 450633679.

It is an arithmetic number, because the mean of its divisors is an integer number (1060913700).

Almost surely, 2^107701420840 is an apocalyptic number.

107701420840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 107701420840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135796953600).

107701420840 is an abundant number, since it is smaller than the sum of its proper divisors (163892486360).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

107701420840 is a wasteful number, since it uses less digits than its factorization.

107701420840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 596 (or 592 counting only the distinct ones).

The product of its (nonzero) digits is 12544, while the sum is 34.

The spelling of 107701420840 in words is "one hundred seven billion, seven hundred one million, four hundred twenty thousand, eight hundred forty".